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    Question

    The ratio of age of ‘M’ 8 years ago to the age of

    ‘N’ 2 years hence from now is 1 : 2. If the sum of their present ages is 50 years, then find the age of ‘N’ 4 years hence from now.
    A 30 years Correct Answer Incorrect Answer
    B 32 years Correct Answer Incorrect Answer
    C 34 years Correct Answer Incorrect Answer
    D 36 years Correct Answer Incorrect Answer

    Solution

    Let the present ages of ‘M’ and ‘N’ be ‘p’ years and ‘q’ years respectively. Then,
    p + q = 50 Or,
    q = 50 − p ATQ, [{(p - 8)}/{(q + 2)} = {1/2}] Or, 2(p − 8) = q + 2 Or, 2p − 16 = q + 2 Or, 2p − q = 18 Or, 2p − (50 − p) = 18 Or, 3p = 68 Or, p = 24 Or, q = 50 − 24 = 26 Therefore, age of ‘N’ 4 years hence from now = 26 + 4 = 30 years

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